Solve this equation. Enter your answer in the box.
-24 + 12d= 2(d-3)+22

Answers

Answer 1

[tex]-24 + 12d= 2(d-3)+22\\\\\implies -24 +12d = 2d-6 +22\\\\\implies 12d-2d-24+6-22 = 0\\\\\implies 10d -40=0 \\\\\implies d = \dfrac{40}{10} = 4\\\\[/tex]

Answer 2

Answer:

[tex]\boxed{\sf{d=4}}[/tex]

Step-by-step explanation:

In order to solve this equation, you must isolate it on one side of the equation.

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ -24+12d=2(d-3)+22

Multiply.

⇒ 2(d-3)+22

⇒ 2d-2*3

⇒ 2*3=6

⇒ 2d-6

Rewrite the problem down.

⇒ 2d-6+22

⇒ -6+22=16

⇒ 2d+16

⇒ -24+12d=2d+16

Then, you add by 24 from both sides.

⇒ -24+12d+24=2d+16+24

Solve.

⇒ 12d=2d+40

Subtract by 2d from both sides.

⇒ 12d-2d=2d+40-2d

Solve.

⇒ 12d-2d=10d

⇒ 10d=40

Divide by 10 from both sides.

⇒ 10d/10=40/10

Solve.

Divide the numbers from left to right.

⇒ 40/10=4

[tex]\Longrightarrow:\boxed{\sf{d=4}}[/tex]

Therefore, the correct answer is d=4.

I hope this helps! Let me know if you have any questions.


Related Questions

solve the inequality; x2-x-2>0

Answers

Answer:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

pls help i thought i understood it but it was incorrect the first time

Answers

Answer: Choice D

Subtraction property of equality

====================================================

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c

I need help with this assignment, please help

Answers

Answer:

A

Step-by-step explanation:

We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.

Find the equation of the line shown

Answers

Answer:

that would be 1/1 or just 1 as your equation of the line.

Step-by-step explanation:

you find this by taking one part of the grid where a line perfectly intersects 2 parts, and you count to the next spot where this happens, in this case would be to the right 1 and up one, making the slope 1/1 which you can simplify into 1. and slope works like y/x, which y is the up and down movement while x is the side to side.

Answer:

y = x + 6

Step-by-step explanation:

two points are;

(0 , 6) & (4 , 10)

The slope: [tex]\frac{10-6}{4-0} =\frac{4}{4} =1[/tex]

The equation:

[tex]y-10=1(x-4)[/tex]

[tex]y-10=x-4[/tex]

[tex]y=x-4+10[/tex]

[tex]y=x+6[/tex]

Hope this helps

HELP ME I DONT DO MATH

Answers

Answer:

alright where's the question

Lilly is placing an order for r bags of rice for her sushi restaurant. The market charges $15.70 per bag of rice. Which equation represents the total cost, t , of Lilly's order?

Answers

t = 15.70r
time cost (t) = the price of the bag of rice • the number of bags of rice

Explain, using an example, that there can be two logarithmic expressions, logₓ₁M and logₓ₂N such that x1≠ x2 and M ≠ N, but logₓ₁M = logₓ₂N.

Answers

For all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.

How to find equivalent logarithms

Logarithms are trascedental function, that is, a function that cannot be described algebraically.

Let suppose we know that [tex]\log _{x_{1}} M = \log_{x_{2}} N[/tex] such that x₁ ≠ x₂. We proceed to prove that for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}} N[/tex] by logarithm properties below:

[tex]\log_{x_{1}} M[/tex]   Given[tex]\frac{\log_{x_{2}}M}{\log_{x_{2}}x_{1}}[/tex]   Base change[tex]\frac{1}{\log_{x_{2}}x_{1}} \cdot \log_{x_{2}} M[/tex]   Associative property[tex]\log_{x_{2}} M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]   [tex]n\cdot \log a = \log a^{n}[/tex][tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]   Result

For example, let suppose that x₁ = 2, M = 8 and x₂ = 3, then the value of N is:

[tex]N = 8^{\frac{1}{\log_{3} 2} }[/tex]

N = 27

Thus, for all [tex]\log_{x_{1}} M[/tex] there is a [tex]\log_{x_{2}}N[/tex] such that [tex]N = M^{\frac{1}{\log_{x_{2}} x_{1}} }[/tex]. The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.

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HELP! WILL GIVE BRAINLEST! On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Answers

Answer:

2 rad

Step-by-step explanation:

Given :

arc length = 2 mradius of a unit circle = 1 m

Formula

l = rβ⇒ β = l/r

Solving for β

β = 2/1β = 2 rad

raise r to the 7th power, then double the result

Answers

Answer:

[tex]\huge\boxed{\bf\:2r^{7}}[/tex]

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]

 [tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]

Now, by doubling the result....

[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

What is the missing term?

Answers

It is 1x because ok ?????????!!!!!!!!!!!

gift card for 25 dollars 4 dollars per pair 5 dollars off

Answers

Answer:

i dont know but i will try

Step-by-step explanation:

example

34 dolars look i have answer

What is the volume of a right cylinder with a radius of 4m and a height of 4m?

Question 8 options:

256π m3

8π m3

16π m3

64π m3

Answers

volume of cylinder: π * radius² * height

=============

⇒ π * 4² * 4

⇒ π * 16 * 4

⇒ 64π

Thus the volume of cylinder is 64π cm³

Question :-

What is the volume of a right cylinder with a radius of 4 m and a height of 4 m?

Answer :-

The volume of a right cylinder is 64π .

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{4 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 m. The height of a cylinder is 4 m. We have been asked to find the volume of a right cylinder.

To calculate the volume of a right cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times (4 \: m)^2 \times 4 \: m [/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi \times 16 \:m^2 \times 4 \: m [/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = \pi 64 \: m^3[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 64\pi \: m^3}[/tex]

Therefore :-

The volume of a right cylinder is 64π m³.

[tex]\\[/tex]

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Have a great day! <33

You know that the current exchange rate for us dollars (usd) to indian rupees (inr) is 1:45.85, that the exchange rate for indian rupees to bangladeshi taka (bdt) is 1:1.507, and that the exchange rate for bangladeshi taka to myanma kyat (mmk) at a rate of 1:0.0928. which of the following equations is set up properly to calculate the exchange rate from us dollars to myanma kyat? a. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (1 i n r) over (1.507 b d t) endfraction times startfraction (1 b d t) over (0.0928 m m k) endfraction = (x m m k). b. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (45.85 i n r) endfraction times startfraction (0.0928 m m k) over (1.507 b d t) endfraction = (x m m k). c. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (1 i n r) endfraction times startfraction (0.0928 m m k) over (1 b d t) endfraction = (x m m k). d. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (45.85 i n r) over (1.507 b d t) endfraction times startfraction (1.507 b d t) over (0.0928 m m k) endfraction = (x m m k).

Answers

The exchange rate from US dollars to Myanma Kyat is given as:

1 : (45.85 × 1.507) × (0.0928) (Option C).

What is an exchange rate?

The rate at which one currency is converted to another is what is referred to as Exchange Rate.

How do we arrive at the above equation?

Recall that the following is given from the question:

Current exchange rate for US dollars (USD) to Indian rupees (INR) is, 1 : 45.85The exchange rate for Indian rupees to Bangladeshi taka (BDT) is, 1 : 1.507The exchange rate for Bangladeshi Taka to Myanma kyat (MMK) is, 1 : 0.0928

Step One - Convert from USD to BDT

This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928

Step Two: - Ascertain the current rate for USD to MMK

This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.

However, from the above, it is clear that the correct answer is Option C.

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Solve for the product of 2 4/5 x 4/6

Answers

Answer:

28x/15

Step-by-step explanation:

Pls help quick

the

A garden store bought a fountain at a cost of $995. 66 and marked it up 100%. Later on,

store marked it down 25%. What was the discount price?

Answers

hope it really helps......!!!!!

Give the person above brainiest

The period of a function is 4
How many cycles of the function occur in a
horizontal length of 12pie?
DONE

Answers

Period is 4 or more simply 4π Horizontal length given is 12π

Hence total cycles:-

12π/4π3cycles

Answer is 3

The required there are 3π cycles of the function in a horizontal length of 12π.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

If the period of a function is 4, that means the function completes one cycle every 4 units of horizontal distance.

To find out how many cycles occur in a horizontal length of 12π, we need to divide 12π by the period of the function, which is 4:

Number of cycles = (12π) / 4

Simplifying the expression, we get:

Number of cycles = 3π

So, there are 3π cycles of the function in a horizontal length of 12π.

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Please draw it on a piece of paper

Answers

Step-by-step explanation:

Here is the example you can take idea from it.

If a person runs 1/3 mile in 1/9 of an hour what is the unit rate per hour

Answers

Answer:

 3 miles per hour

Step-by-step explanation:

he runs 1/3 mile in 1/9 of an hour

then

he runs (we multiply both sides by 9)

 9×(1/3) mile in 9×(1/9) of an hour

then

he runs

 (9/3) mile in (9/9) of an hour

then

he runs 

 3 mile in 1 hour

James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finished studying?

Answers

Answer:

5:35

Step-by-step explanation:

since he started at 3:20 , to find when he ended you add the 2 hours to that, which gives you 5:20. but, you still have the fifteen minutes which you just add to 5:20, giving you 5:35.

guys can anyone please help me on this , i don’t understand!!

Answers

Answer:

The correct answer would be Option A; all real numbers

Hope this helps!

Science!



In the process of combustion, a fuel such as coal undergoes _________________.

Answers

Answer

Burning of coal undergoes combustion reaction. Combustion reaction is a type of reaction in which chemical species experiences oxidation by undergoing a reaction with the oxidizing agent which results in the emission of energy in the form of heat. It is an exothermic process.

Step-by-step explanation:

Benny went to his local zoo that featured 11 reptile exhibits. if these reptiles exhibits make up 55% of the zoo's exhibits, then how many exhibit does the zoo have in total?​

Answers

Answer: 20 exhibits

Step-by-step explanation:

    If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.

[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]

    Cross multiply:

1,100 = 55x

    Divide:

20 = x

    There are 20 exhibits in total.

Goal: Gather and organize statistical data in frequency distribution table.
Role: Statistician, Data Analyst
Audience: Math Teacher, Adviser
Situation: Your Math Teacher asked your class to conduct a simple survey to
determine the number of learners who are using gadgets in your school.
Product/ Performance:
You were asked to look for at least 15 individuals among your friends within
your school and construct a frequency distribution table on each category:
A. gender
B. preferred distance learning modality (online, modular, blended)
C. available gadget used in distance learning (smartphone, laptop,
tablet, desktop, or none)

I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answers

Frequency distribution tables are a tool for organizing data and obtaining additional information.

What is the frequency distribution?

The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.

In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.

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What are the zeros of the following function?
a) 2 and and -3
b) 2 and 3
c) 3 only
d) -3,2 and 3

Answers

Answer:

a

Step-by-step explanation:

"Zeroes" of the function are where the graph crosses the x- axis at -3 and 2

Need some help please.

Answers

Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

What are the Rules of Exponents?

Some of the rules of exponents to be applied are as follows:

[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]

What are Equivalent Expressions?

If two expressions have the same value, both are said to be equivalent expressions.

1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]

[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: H

2. 3³/6² = 27/36 = 3/4

Answer: R

3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: M

4. 7²/7² = 49/49 = 7° = 1

Answer: J

5. 8^-2 = 1/8² = 1/64

Answer: A

6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]

Answer: L

7. (3²)³ = 3²*³ = [tex]3^6[/tex]

8. 4° × 4^-1 = 1 × 1/4 = 1/4

Answer: E

9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1

Answer: U

10. [tex](3^2)^{-1} = 3^{-2}[/tex]

Answer: I

11. [tex]1^{98}[/tex] = 1

Answer: D

12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]

Answer: F

13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64

Answer: S

14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72

Answer: O

15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]

Answer: N

16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2

Answer: T

Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

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Find the value of x. Round to the nearest tenth. 1.4ft 2.1 ft 2x x = [ ? ]ft​

Answers

Perpendicular projected from center of a circle to its chord bisects it. The value of the x for this case is: x = 1.565 ft approximately.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

What is the relation between line perpendicular to chord from the center of circle?

If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.

Or |AC| = |CB|

For this case, consider the diagram below.

The line OC divides AB in half.

Since it is given that:
Length of AB = |AB| = 2x ft,

therefore, we get:
|AC| + |CB| = 2x

|AC|+|AC| = 2x (as |AC|=|CB|)

therfore, we get: |AC| = x feet = |CB|

Now,as the triangle OBC contains a right angle, we can use Pythagoras theorem, and therefore, we get:

[tex]|OB|^2 = |OC|^2 + |CB|^2\\2.1^2 = 1.4^2 + x^2\\x^2 = 4.41 - 1.96\\x = \sqrt{2.45} \approx 1.565 \: \rm ft[/tex]

(took positive root as 'x' represents measurement of length, which is a non-negative quantity).


Thus, the value of the x for this case is: x = 1.565 ft approximately.

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Can someone hepl me solve this it is importaint thank you so much ?

4/7x5/3x3/4=?

Answers

Answer:

5/7 is the answers for the question

At a construction job for a museum, 9 painters were tasked with painting the interior. These painters made up 55% of the painting crew, so how many painters in all worked on this job? Round your answer to the nearest whole number if necessary.
(I will mark brainliest if you give the answer+explanation)​

Answers

Answer:

16

Step-by-step explanation:

First, you can create a ratio:

Number of people/percentage of total

So 9 being 55% of the painting crew would be:

[tex]\frac{9}{0.55}[/tex], because we are trying to find the total number of painters, you can create another fraction where x is the numerator (number of people) and the denominator is 1 (or 100% of the painters). [tex]\frac{x}{1}[/tex]

Because these fractions are proportions of the same thing, we can set them equal to each other.

[tex]\frac{9}{0.55} =\frac{x}{1}[/tex], cross multiplying gives:

9=0.55x

Dividing both sides by 0.55 gives:

x=(around) 16

PLS HELP No links pls and Ty<333!!!

A circle's diameter is 8 centimeters.
What is the circle's area (use 3.14 for pi and round to the nearest
tenth)?

Answers

Answer:

Formula for the area of a circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(22/7 or 3.14), and 'r' stands for the radius being squared.

But, we are given a diameter instead of a radius.

So to find the radius of the diameter we must find 1/2(half) of the diameter:

Diameter/2 = Radius

Plug in what we know:

D/2 = R

8/2 = R

4 = R, 4 is our radius.

Now we use this radius in our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(4^2) ← (The symbol ' ^ ' means to the power of.)

A = 3.14(16)

A = 50.24 centimetres is the area for this circle.

Question 9 (1 point)
(03.01 LC)
What is the length of the unknown side of the right triangle? (1 point)
х
7
24
Оа
7
Ob
24
Ос
25
Od
31

Answers

Apply Pythagorean theorem

x²=24²+7²x²=576+49x²=625x=√625x=25

Answer:

25 units

Step-by-step explanation:

Since this triangle is a right triangle, we can use pythogoras theorem to calculate the unknown side length (x). The pythogoras theorem states that the (longest side)² is equivalent to (Side)² + (Side)².

Let the longest side be "c" and the other side lengths be "a and b".

⇒ Pythogoras theorem formula: c² = b² + a²

If this statement is proven false, then the triangle shown is not a right triangle. Now, let's use the formula to determine the missing side length.

Let "c" be "x" and the other side lengths be "7 and 24 (as stated in image)"

⇒ c² = b² + a²⇒ x² = 7² + 24²

SImplify both sides as needed.

⇒ x² = 49 + 576⇒ x² = 625

Take square root both sides as needed.

⇒ √x² = √625⇒ x = 25 units

The measure of x is 25 units.


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